1) The fair has a ride that consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away. The coefficient of static friction between the person and the wall is and the radius of the cylinder is R. Determine the period of revolution necessary to keep the person from falling.
Consider the normal force between the person and wall.
2) A "spring activated toy" weighs 0.925N and has a spring of length 5cm. Upon release the toy jumps to a height of 0.5m. What is the spring constant of the spring?
The spring is initially held in a compressed state by the adhesive force of the 'sucker' which provides a maximum force of the form
Fsucker = Fo(1 - t2/to2o)
where F0 and t0 are constants. Find an expression for the time it would take before the spring-activated toy is launched into the air.
3) One strategy used by the Ewok's during their battle with the imperial stormtroopers was to throw a rock at a high angle over level ground. While a stormtrooper watched the first one, a second rock was thrown at a low angle timed to arrive before or at the same time as the first one. Assume both rocks are thrown with a speed of 25.0 m/s. The first one is thrown at an angle of 65.0° with respect to the horizontal. At what angle should the second (low angle) rock be thrown to arrive at the same point as the first? How many seconds later should the second rock be thrown, after the first was thrown, to arrive at the same time?